Search a number
-
+
1135640 = 235112989
BaseRepresentation
bin100010101010000011000
32010200210202
410111100120
5242320030
640201332
712436622
oct4252030
92120722
101135640
11706250
12469248
13309b9c
14217c12
15176745
hex115418

1135640 has 64 divisors (see below), whose sum is σ = 2916000. Its totient is φ = 394240.

The previous prime is 1135633. The next prime is 1135643. The reversal of 1135640 is 465311.

1135640 = 662 + 672 + ... + 1542.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12716 + ... + 12804.

21135640 is an apocalyptic number.

1135640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458000).

1135640 is an abundant number, since it is smaller than the sum of its proper divisors (1780360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1135640 is a wasteful number, since it uses less digits than its factorization.

1135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1135640 is about 1065.6641121854. The cubic root of 1135640 is about 104.3310457115.

The spelling of 1135640 in words is "one million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 89 110 116 145 178 220 232 290 319 356 440 445 580 638 712 890 979 1160 1276 1595 1780 1958 2552 2581 3190 3560 3916 4895 5162 6380 7832 9790 10324 12760 12905 19580 20648 25810 28391 39160 51620 56782 103240 113564 141955 227128 283910 567820 1135640